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Finding the Fourth Proportional to 38,972.70, 53,782.03 and 30,483.49

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Solution

The fourth proportional to 38,972.70, 53,782.03 and 30,483.49 is: 42,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972.70 : 53,782.03 = 30,483.49 : x
  2. Step 2: Convert to fraction form
    38,972.70/53,782.03 = 30,483.49/x
  3. Step 3: Cross multiply
    38,972.70x = 53,782.03 × 30,483.49
  4. Step 4: Simplify right side
    38,972.70x = 1,639,463,973.68
  5. Step 5: Solve for x
    x = 1,639,463,973.68/38,972.70
  6. Step 6: Final answer
    x = 42,066.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.